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Finding the Fourth Proportional to 13,857.16, 20,785.56 and 9,403.78

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Solution

The fourth proportional to 13,857.16, 20,785.56 and 9,403.78 is: 14,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.16 : 20,785.56 = 9,403.78 : x
  2. Step 2: Convert to fraction form
    13,857.16/20,785.56 = 9,403.78/x
  3. Step 3: Cross multiply
    13,857.16x = 20,785.56 × 9,403.78
  4. Step 4: Simplify right side
    13,857.16x = 195,462,833.42
  5. Step 5: Solve for x
    x = 195,462,833.42/13,857.16
  6. Step 6: Final answer
    x = 14,105.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.